Buch, Englisch, 194 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 312 g
Reihe: Scientific Computation
An Introduction
Buch, Englisch, 194 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 312 g
Reihe: Scientific Computation
ISBN: 978-3-642-07798-2
Verlag: Springer
The book gives the reader the basis for understanding the way numerical schemes achieve accurate and stable simulations of physical phenomena. It is based on the finite-difference method and simple problems that allow also the analytic solutions to be worked out. ODEs as well as hyperbolic, parabolic and elliptic types are treated. The book builds on simple model equations and, pedagogically, on a host of problems given together with their solutions.
Zielgruppe
Graduate
Autoren/Hrsg.
Fachgebiete
- Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Aerodynamik
- Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Strömungslehre
- Technische Wissenschaften Technik Allgemein Modellierung & Simulation
- Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
- Technische Wissenschaften Technik Allgemein Computeranwendungen in der Technik
- Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre
Weitere Infos & Material
1. Introduction.- 2. Basics of the Finite-Difference Method.- 3. Application to the Integration of Ordinary Differential Equations.- 4. Partial Differential Equations.- 5. Integration of a Linear Hyperbolic Equation.- 6. Integration of a Linear Parabolic Equation.- 7. Integration of a Linear Elliptic Equation.- 8. Finite Difference Scheme for a Convection-Diffusion Equation.- 9. The Method of Murman and Cole.- 10. Treatment of Non-Linearities.- 11. Application to a System of Equations.- A. Problems.- B. Solutions to Problems.- References.
